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A short note on coproducts of abelian pro-Lie groups
Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo
The notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbi…
Inverse limit slender groups
Gregory Conner, Wolfgang Herfort, Curtis Kent +1
Classically, an abelian group is said to be slender if every homomorphism from the countable product to factors through the projection to some finit…
When is the Sum of Two Closed Subgroups Closed in a Locally Compact Abelian Group
Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo
Locally compact abelian groups are classified in which the sum of any two closed subgroups is itself closed. This amounts to reproving and extending results by Yu.~N.~Mukhin from 1…
A Study in Locally Compact Groups
Karl H. Hofmann, Wolfgang Herfort, Francesco G. Russo
The class of locally compact near abelian groups is introduced and investigated as a class of metabelian groups formalizing and applying the concept of scalar multiplication. The s…